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On the Periodic Orbits of the Static, Spherically Symmetric Einstein-Yang-Mills Equations

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Abstract

In this paper we analyze the existence of the periodic orbits of the static, spherically symmetric Einstein–Yang–Mills Equations by using the qualitative theory of the ordinary differential equation. We prove that there are no periodic orbits restricted to some invariant set of codimension 1. Furthermore if there is a periodic orbit out of this invariant set, then there must be other periodic orbits, which are symmetric to the first one. We also have results on the non–existence of periodic orbits when the cosmological constant is negative.

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Authors and Affiliations

  1. Departament de Matemàtiques, Universitat Autònoma de Barcelona, 08193, Bellaterra, Barcelona, Spain

    Jaume Llibre

  2. Department of Mathematics, Shanghai Jiaotong University, Shanghai, 200240, China

    Jiang Yu

Authors
  1. Jaume Llibre
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  2. Jiang Yu
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Correspondence to Jaume Llibre.

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Communicated by G. Gallavotti

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Llibre, J., Yu, J. On the Periodic Orbits of the Static, Spherically Symmetric Einstein-Yang-Mills Equations. Commun. Math. Phys. 286, 277–281 (2009). https://doi.org/10.1007/s00220-008-0590-6

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  • DOI: https://doi.org/10.1007/s00220-008-0590-6

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